Unformatted text preview: ±or some media, the propagation velocity follows from: • Pressure waves in a liquid or gas: v = ³ κ / ² , where κ is the modulus of compression. • ±or pressure waves in a gas also holds: v = ³ γ p/ ² = ³ γ RT/M . • Pressure waves in a thin solid bar with diameter << λ : v = ³ E/ ² • waves in a string: v = ³ F span l/m • Surface waves on a liquid: v = ´ ± g λ 2 π + 2 πγ ²λ ² tanh ± 2 π h λ ² where h is the depth of the liquid and γ the surface tension. If h ² λ holds: v ≈ √ gh . 5.2 Solutions of the wave equation 5.2.1 Plane waves In n dimensions a harmonic plane wave is deFned by: u ( ± x,t ) = 2 n ˆ u cos( ω t ) n µ i =1 sin( k i x i )...
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- Spring '10
- wave equation, Wave mechanics, pressure waves